Asymptotic behaviour of a~special solution of Abel's equation relating to a~cusp catastrophe.
    
    
  
  
  
      
      
      
        
Sbornik. Mathematics, Tome 198 (2007) no. 9, pp. 1299-1324
    
  
  
  
  
  
    
      
      
        
      
      
      
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              			An asymptotic formula as $t\to\infty$ for the solution of the ordinary differential Abel's equation of the first kind $u'_x+u^3-tu-x=0$, which is uniform in the $x$-variable,  is constructed and substantiated.
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      @article{SM_2007_198_9_a4,
     author = {A. M. Il'in and B. I. Suleimanov},
     title = {Asymptotic behaviour of a~special solution of {Abel's} equation relating to a~cusp catastrophe.},
     journal = {Sbornik. Mathematics},
     pages = {1299--1324},
     publisher = {mathdoc},
     volume = {198},
     number = {9},
     year = {2007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2007_198_9_a4/}
}
                      
                      
                    TY - JOUR AU - A. M. Il'in AU - B. I. Suleimanov TI - Asymptotic behaviour of a~special solution of Abel's equation relating to a~cusp catastrophe. JO - Sbornik. Mathematics PY - 2007 SP - 1299 EP - 1324 VL - 198 IS - 9 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SM_2007_198_9_a4/ LA - en ID - SM_2007_198_9_a4 ER -
A. M. Il'in; B. I. Suleimanov. Asymptotic behaviour of a~special solution of Abel's equation relating to a~cusp catastrophe.. Sbornik. Mathematics, Tome 198 (2007) no. 9, pp. 1299-1324. http://geodesic.mathdoc.fr/item/SM_2007_198_9_a4/
